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Parameter regimes for slow, intermediate and fast MHD shocks

Published online by Cambridge University Press:  08 March 2010

P. DELMONT  and
R. KEPPENS
P. DELMONT
Affiliation:
Centre for Plasma Astrophysics, K.U. Leuven, Belgium (peter.delmont@wis.kuleuven.be) Leuven Mathematical Modeling and Computational Science Centre, K.U. Leuven, Belgium
R. KEPPENS
Affiliation:
Centre for Plasma Astrophysics, K.U. Leuven, Belgium (peter.delmont@wis.kuleuven.be) Leuven Mathematical Modeling and Computational Science Centre, K.U. Leuven, Belgium Astronomical Institute, Utrecht University, The Netherlands FOM Institute for Plasma Physics Rijnhuizen, Nieuwegein, The Netherlands
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Abstract

We investigate under which parameter regimes the magnetohydrodynamic (MHD) Rankine–Hugoniot conditions, which describe discontinuous solutions to the MHD equations, allow for slow, intermediate and fast shocks. We derive limiting values for the upstream and downstream shock parameters for which shocks of a given shock-type can occur. We revisit this classical topic in nonlinear MHD dynamics, augmenting the recent time reversal duality finding by in the usual shock frame parametrization.

Type
Papers
Information
Journal of Plasma Physics , Volume 77 , Issue 2 , April 2011 , pp. 207 - 229
Copyright
Copyright © Cambridge University Press 2010

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